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Finding the Fourth Proportional to 198.12, 296.97 and 68.00

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Solution

The fourth proportional to 198.12, 296.97 and 68.00 is: 101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.12 : 296.97 = 68.00 : x
  2. Step 2: Convert to fraction form
    198.12/296.97 = 68.00/x
  3. Step 3: Cross multiply
    198.12x = 296.97 × 68.00
  4. Step 4: Simplify right side
    198.12x = 20,194.70
  5. Step 5: Solve for x
    x = 20,194.70/198.12
  6. Step 6: Final answer
    x = 101.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.